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<p><dfn class="terminology">Regular Singular Point and Irregular Singular Point:</dfn>Suppose that <span class="process-math">\(x=x_0\)</span> is a singular point. If both <span class="process-math">\((x-x_0) Q(x)/P(x)\)</span> and <span class="process-math">\((x-x_0)^2 R(x)/P(x)\)</span> are analytic, then <span class="process-math">\(x=x_0\)</span> is called a <dfn class="terminology">regular singular point</dfn>. Otherwise, <span class="process-math">\(x=x_0\)</span> is called an <dfn class="terminology">irregular singular point</dfn>.</p>
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